Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844100 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 11 Pages |
Abstract
We study the existence and multiplicity of positive periodic solutions of Hill’s equations with singular nonlinear perturbations. The new results are applicable to the case of a strong singularity as well as the case of a weak singularity. The proof relies on a nonlinear alternative principle of Leray–Schauder and a fixed point theorem in cones. Some recent results in the literature are generalized and improved.
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Authors
Jifeng Chu, Ming Li,